A minority of physicists has endorsed some claims made for anomalous effects related to consciousness. A smaller number have attempted experiments to establish the veracity of such claims. The nature of these claims, in particular those for psychokinesis, is reviewed. Most of the experimental work bearing on these claims conducted by professional scientists has not yielded convincing evidence in their support. What are frequently stated to be the most credible claims are not, in fact, persuasive and furthermore the appeals to quantum mechanics by way of explanation are questionable